How many different ways could you work out the answer to this problem?
What is a fraction?
Re-read the sentence above carefully.
Watch the videos below.
Now complete the worksheet below by cutting out the shapes and placing them into the first column if they correctly show fractions, and put them into the second column if they are not fractions.
Then complete the worksheet below.
Then follow the instructions for Khan's Academy.
Review fractions by looking at the following lessons:
Introduction to Fractions
Cutting Shapes into equal parts
Fractions are part of a whole shape, but they can all look very different. A square can be cut into quarters by drawing a vertical line down the middle, and drawing a horizontal line across the middle. Or a circle can be cut in half and then in half again to look like 4 pieces of pie. But if a fraction just means dividing a shape into equal parts, then there are many other ways it could be done.
Use the grid sheet provided by your teacher. How many different ways could you divide a cake into quarters? Imagine that this grid is a square cake. Be creative and colour in one quarter of the cake in different ways (only use one colour). Do as many different examples as you can in 5 minutes.
Take a photo and upload to Seesaw.
For those of you who had a go at the Challenge in yesterday's Maths lesson, here are a few possible creative answers. Look carefully and see how these work!
Follow the Wooly Worm Race lesson from makemathmoments.com
In last year's competition, Silly Willy travelled a distance of 2 thirds of the whole race track while Yo Gaba Gaba travelled a distance of 3 fifths of the whole race track.
Compare the results of these two caterpillars.
Who travelled the furthest and how can you convince others that you're right? Write/draw an explanation of your thinking. Take a picture of your explanation, and upload it to Seesaw.
Complete fraction workstation activities.
Complete fraction workstation activities.
Review more work on fractions by looking at the following lessons:
Recognise fractions
Practise: Fractions in context
Read Apple Fractions book.
You will be given a sheet of paper with some rectangles.
Create as many different flags as you can which are 3/4 red and 1/4 yellow. Most of the flags in the picture are not divided into fourths, but the picture is just there as an idea. Remember that fractions are equal parts of a whole flag.
Take a photograph of all the flags you have designed and upload it to Seesaw.
Have a go at the task below.
Can you count using fractions? Discuss.
Could you count by halves for example? Work with a partner or with your class.
Could you count by fourths?
Whenever we have a number line and divide up the space between whole numbers, we are dividing the space into parts of a whole. Each space is part of the whole number, so we can count using fractions.
Look carefully at the line below.
The space between 0 and 1 has been divided into two equal parts, so we can count the first space as being half, and the second space is another half. But you all know that two halves make a whole 1.
So we could count 0, 1/2, 1, 1 1/2, 2. See if you can keep counting by halves up to 10.
We can do the same with any size of fractions. On the line below, the space between 0 and 1 has been divided into 4 equal spaces, which we call fourths or quarters.
So we can count this one as follows: 0, 1/4, 2/4, 3/4, 1, 1 1/4, 1 2/4, 1 3/4, 2. Try to continue this counting pattern up to 6.
Watch these two videos to help you understand fractions on a number line.
This video will help you to understand how whole numbers and fractions work on a number line. These are called mixed numbers.
Cut out the fractions at the bottom of this sheet and glue them into the correct places on the three number lines.
Watch this video again really carefully, thinking about how we show fractions on a number line.
Complete G3 U5 C7 Fraction work station as a quick revision of our work on fraction number lines
Complete these two worksheets. Write your answers on a piece of paper, labelling them carefully so your teacher knows which answers they are. Then take a picture and upload to Seesaw.
If you have any spare time, you can have a look at Targeting Maths and select Number > Fractions, and see if you can complete one or two games from that.
What can you tell me what fraction of this shape is taken up by each of the different colours? Make sure you can explain your comments.
Watch this video about comparing fractions and finding out which fractions are actually the same size even though they have different names and numbers. We call these equivalent fractions.
Try comparing different fractions on these worksheets to see fractions that are similar or EQUIVALENT. You will need to think and look carefully as you do them. You will find these sheets in Seesaw. If it is easier, you can write your work on paper and take a picture to upload to Seesaw.
Complete the activity below. Think carefully about your answers.
Investigate this interactive wall by clicking on different fractions on strips. (This is like the fraction booklet you made up last week).
Compare different fractions and see how many quarters, sixths and eighths are an equivalent amount of the strip as one half. Then try to find out what fractions are equivalent to one third or one quarter.
See if you can write number sentences to match what you draw/colour on the interactive wall.
Today you are going to make a resource that we will use in future lessons on fractions, so look after it carefully. Use the pictures to help you think about what to do.
Find your Fraction Flip Book in your learning pack.
Carefully cut along the dotted line where it tells you to on each sheet. Be careful to only cut one page at a time, and don't catch any other pages.
Look carefully at the images shown to the right, and colour in your booklet, using a different colour for each fraction.
On the pages where there are circles, colour in the amount of the circle as instructed.
Review comparing fractions using this interactive Fraction Wall. Then use it to help you complete the worksheet below.
Click through the slides below which remind us of what we have been learning in the last couple of lessons. Try to work out the problems as you go.
For a bit more of challenge, try to solve the problems on the worksheet below. You may need to use drawings to help work it out, as well as using what you know about equivalent fractions. Use the questions as shown below. Show your working out and your answers on a piece of paper, take a picture of it, and upload it to Seesaw.
Remember the special math words that we heard about when talking about fractions. One word is used to talk about how many parts the whole shape (or cake) is divided into - that is called the denominator. Another word is used to talk about how many parts we have coloured in (or have eaten) - that is called the numerator. Watch these two short videos just to help you fix this idea in your mind.
Stop this video after 3.30 minutes.
Complete G2 U5 C17 comparing fractions - greater than/less than for example, 3/4 > 3/6.
Read the instructions at the top of each of these worksheets and complete them in Seesaw.